Or just add all the parties (even the ones that haven't spawned in that game) to the "Give Speech in Support of Party" option. After all, the party you want to support might exist in Andor society, but just not have enough support to be represented in their parliament.
Fully agree, minor parties are a thing, even though they may be minuscule. In the USA third parties are barely there, but they are, and if a giant Space Hydra were to suddenly say it supports them, people might consider them a bit more.
I honestly find it amusing the Hydral is the single being in an entire solar system that seems to want a federation or merely an inter-race cooperation.
I kind of wish there were small groups wanting the same thing, like how the AFA rise eventually against it, and you could support them, and if they get strong enough, they can start pushing their race into a more pro-federation stance. (Sure, some races would not go for that, like the Burlust, but others would, the Hive Queen might happen to be interested in potential 'not eat everyone if possible', or the Acutians see it as both being part of a strong alliance, and getting new customers if they take the job of being the race that handles the consumerist whims of the entire federation.)